Details

sample587.0ms

Algorithm

intervals

Results

223.0ms	59×	body	1280	valid
137.0ms	47×	body	640	valid
74.0ms	149×	body	80	valid
35.0ms	23×	body	320	valid
20.0ms	46×	body	80	nan
7.0ms	7×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
6	2046
5	644
4	269
3	138
2	87
1	45
0	20

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.5b

localize71.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ x (tan B))
0.2b	(/ F (sin B))
6.4b	(* (pow (fma 2 x (fma F F 2)) -1/2) (/ F (sin B)))
18.4b	(pow (fma 2 x (fma F F 2)) -1/2)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
31×	`*-un-lft-identity` `add-cube-cbrt`
30×	`times-frac`
22×	`add-exp-log`
13×	`add-cbrt-cube` `associate-r`
8×	`unpow-prod-down`
7×	`associate-l`
6×	`associate-/r` `prod-exp` `associate-/l` `unswap-sqr`
5×	`pow1` `div-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `cbrt-undiv` `pow-unpow` `pow-exp` `div-inv`
2×	`clear-num` `frac-2neg` `cbrt-unprod`
1×	`pow-pow` `tan-quot` `associate-r/` `associate-/r/` `-commutative`

Counts

4 → 127

Calls

4 calls:

19.0ms	(/ x (tan B))
10.0ms	(/ F (sin B))
29.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) (/ F (sin B)))
6.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

series1.2s

Counts

4 → 12

Calls

4 calls:

578.0ms	(/ x (tan B))
91.0ms	(/ F (sin B))
247.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) (/ F (sin B)))
278.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

simplify2.3s

Counts

139 → 139

Iterations

Iter	Nodes
3	4249
2	1379
1	517
0	244

prune2.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 12.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (sin B))
0.3b	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
0.4b	(* (* (pow (fma 2 x (fma F F 2)) -1/2) F) (/ 1 (sin B)))
18.4b	(pow (fma 2 x (fma F F 2)) -1/2)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
31×	`prod-exp`
29×	`add-sqr-sqrt`
24×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube`
18×	`times-frac`
16×	`associate-r`
10×	`div-exp`
8×	`pow1` `associate-l`
7×	`unpow-prod-down` `cbrt-unprod`
6×	`pow-to-exp` `pow-exp`
5×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `associate-/r` `associate-/l` `unswap-sqr` `sqr-pow`
2×	`*-commutative` `div-inv`
1×	`clear-num` `pow-pow` `frac-2neg` `pow-prod-down` `associate-*r/` `un-div-inv` `pow-flip` `inv-pow`

Counts

4 → 130

Calls

4 calls:

11.0ms	(/ 1 (sin B))
26.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
34.0ms	(* (* (pow (fma 2 x (fma F F 2)) -1/2) F) (/ 1 (sin B)))
2.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

series633.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ 1 (sin B))
149.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
204.0ms	(* (* (pow (fma 2 x (fma F F 2)) -1/2) F) (/ 1 (sin B)))
265.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

simplify5.2s

Counts

142 → 142

Iterations

Iter	Nodes
3	4467
2	1437
1	521
0	221

prune2.4s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 12.1b

localize92.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ 1 (sin B)))
0.5b	(cbrt (/ 1 (sin B)))
0.5b	(* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B))))
18.4b	(pow (fma 2 x (fma F F 2)) -1/2)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

106×	`cbrt-prod`
92×	`add-sqr-sqrt`
70×	`times-frac`
62×	`*-un-lft-identity`
52×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
12×	`pow1`
8×	`pow1/3` `div-inv`
7×	`add-exp-log`
6×	`cbrt-div`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-to-exp` `pow-pow` `pow-plus` `associate-l/` `pow-exp` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 160

Calls

4 calls:

2.0ms	(cbrt (/ 1 (sin B)))
2.0ms	(cbrt (/ 1 (sin B)))
29.0ms	(* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B))))
4.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

series778.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (/ 1 (sin B)))
150.0ms	(cbrt (/ 1 (sin B)))
153.0ms	(* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B))))
301.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

simplify1.2s

Counts

172 → 172

Iterations

Iter	Nodes
3	2310
2	957
1	451
0	235

prune3.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 12.1b

localize123.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin B))
0.6b	(cbrt (sin B))
0.6b	(cbrt (sin B))
18.4b	(pow (fma 2 x (fma F F 2)) -1/2)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 62

Calls

4 calls:

2.0ms	(cbrt (sin B))
2.0ms	(cbrt (sin B))
3.0ms	(cbrt (sin B))
4.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

series752.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (sin B))
171.0ms	(cbrt (sin B))
151.0ms	(cbrt (sin B))
258.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

simplify1.9s

Counts

74 → 74

Iterations

Iter	Nodes
4	3311
3	1297
2	526
1	225
0	108

prune1.8s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 12.1b

regimes303.0ms

Accuracy

0% (0.6b remaining)

Error of 10.8b against oracle of 10.2b and baseline of 10.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	18
1	18
0	16

end0.0ms

sample14.1s

Algorithm

intervals

Results

5.3s	1689×	body	1280	valid
3.4s	1375×	body	640	valid
2.6s	4873×	body	80	valid
1.5s	657×	body	320	valid
696.0ms	1652×	body	80	nan
331.0ms	308×	body	160	valid